Doctors are battling to save the leg of the two-year-old involved in a bus crash that killed her grandmother.

Little Pollyanna Hope was with her mother Sarah, and her grandmother, Elizabeth Panton when a bus hit them in East Sheen about 9.40am yesterday.

They had been seeing Mrs Panton off after the group visited her newborn grandson.

Mrs Panton, aged in her mid-60s, was pronounced dead at hospital.

The mother-in-law of South Norfolk Tory MP Richard Bacon, Mrs Stanton had been in Richmond to visit her son, and her first grandson, Rollo, born three days ago.

Mr Bacon said the family was trying to deal with the tragedy.

"This was supposed to be an incredibly happy day bringing our baby home," Mr Bacon said in a statement.

"Now we're trying to come to terms with all of this."

Pollyanna was taken to Chelsea and Westminster Hospital, where it is believed doctors were battling last night to save her leg.

She remains in a critical condition.

This is the same hospital where Mr Bacon's wife Victoria gave birth to Rollo on Monday.

Pollyanna's mother, thought to in her mid 30s, were taken to Charing Cross Hospital, where she was described as stable.

Mrs Panton had travelled from her home in Market Drayton on Tuesday to see her new grandson.

She had been waiting for a bus to take her in to central London, with her family there to see her off.

The accident happened at about 9.48am yesterday in North Worple Way, East Sheen, when a 209 bus hit the pedestrians.

London Ambulance Service confirmed they sent five ambulances and two rapid response cars to the scene.

A man in his 40s has been arrested in connection with the incident.

The 209 route runs from Mortlake to Hammersmith via Barnes.

A spokesman for London Buses said they would co-operate fully with any police investigation.

Anyone with information should call Hampton Collision Investigation Unit on 020 8247 6935.